arXiv Analytics

Sign in

arXiv:0902.4881 [math.OC]AbstractReferencesReviewsResources

Controllability and observabiliy of an artificial advection-diffusion problem

Pierre Cornilleau, Sergio Guerrero

Published 2009-02-27, updated 2012-03-03Version 5

In this paper we study the controllability of an artificial advection-diffusion system through the boundary. Suitable Carleman estimates give us the observability on the adjoint system in the one dimensional case. We also study some basic properties of our problem such as backward uniqueness and we get an intuitive result on the control cost for vanishing viscosity.

Comments: 20 pages, accepted for publication in MCSS. DOI: 10.1007/s00498-012-0076-0
Categories: math.OC, cs.SY, math.AP
Related articles: Most relevant | Search more
arXiv:1206.5209 [math.OC] (Published 2012-06-22, updated 2013-01-24)
On the cost of null-control of an artificial advection-diffusion problem
arXiv:1304.4090 [math.OC] (Published 2013-04-15)
On the controllability of the non-isentropic 1-D Euler equation
arXiv:2410.08532 [math.OC] (Published 2024-10-11)
Controllability of Quasi-linear Parabolic Equations by Hierarchic Controls

Links

Toolbox